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There is a horizontal cylindrical unifor...

There is a horizontal cylindrical uniform but time-varying magnetic field increasing at a constant rate `dB//dt` as shown in Fig. 3.173. A charged particle having charge `q` and mass `m` is kept in equilibrium, at the top of a spring of spring constant `K`, in such a way that it is on the horizontal line passing through the center of the magnetic field as shown in the figure. The compression in the spring will be

A

`1/K[mg-(qR^2)/(2l)(dB)/(dt)]`

B

`1/K[mg+(qR^2)/(l)(dB)/(dt)]`

C

`1/K[mg+(2qR^2)/(l)(dB)/(dt)]`

D

`1/K[mg+(qR^2)/(2l)(dB)/(dt)]`

Text Solution

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The correct Answer is:
D
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